We are given that a force of 80 N is exerted at an angle of 39°. Therefore, the force vector F can be represented as the hypotenuse of a right triangle with an acute angle 39°. The length of the hypotenuse would be
|F| =

Given that the force vector \( \mathbf{F} \) is represented as the hypotenuse of a right triangle with an acute angle of \( 39^\circ \), and the magnitude of the force is \( |F| = 80 \, \text{N} \), the magnitude of the hypotenuse is directly given as 80 N. 

So, the length of the hypotenuse \( |F| \) is:

\[
|F| = 80 \, \text{N}
\]

Would you like to explore how to find the components of this force vector along the x and y axes?

Here are five related questions you might find useful:
1. How do you calculate the horizontal (x-axis) component of the force vector?
2. How do you calculate the vertical (y-axis) component of the force vector?
3. What is the significance of the angle in determining the components of the force vector?
4. How would the components change if the angle were increased or decreased?
5. How does the force vector relate to the resultant force when multiple forces are involved?

**Tip:** When working with vectors, always decompose the vector into its components along the coordinate axes to simplify the analysis of the forces.

Understand how to calculate the components of a force vector given its magnitude (80 N) and angle (39 degrees). This problem involves vector decomposition and trigonometric principles, essential for physics and engineering students.

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